AH resources often look tricky for a leader who has no Agri or Hunt in his starting techs. I understand OP's confusion

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BW first and mining that hill pig is probably not a bad idea, especially with these forests around the capital plus the possibility to find copper. FIN clam is 4

3

, a decent tile to work. But I wonder if the tech cost at prince level will allow people to get Hunt-AH in 15 turns or less...?

If Hunt-AH can be done before T15, then AH first is reasonable as well. Of course, if the warrior finds some corn or wheat, Agri-AH will be better.
Here is an example of
coastal double clams + AH resource start : the leader is Churchill, not Hannibal, but Churchill and Hanni have the same starting techs (fishing + mining). You'll see in that video the human player built worker first while researching BW, then sent the worker to chop workboats.
The capital has many water tiles - good for the short term

but weak for the long term, as water tiles have much less potential than grassland cottages. In this case you might want to try "
coastal economy" with the Colossus and/or TGL . At prince level however, a more efficient way to solve this problem would be sending your axes or chariots to capture some nice inland cities from your neighbours, if you have capital copper or horse and the AIs are close

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